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54982746256 = 24314612
BaseRepresentation
bin110011001101001110…
…100010000010010000
312020220211201220111111
4303031032202002100
51400101040340011
641131515023104
73654344426524
oct631516420220
9166824656444
1054982746256
1121355366069
12a7a573aa94
13525316a1a9
1429383bdd84
15166c03e121
hexccd3a2090

54982746256 has 75 divisors (see below), whose sum is σ = 111914210265. Its totient is φ = 26168414400.

The previous prime is 54982746229. The next prime is 54982746289. The reversal of 54982746256 is 65264728945.

It is a happy number.

The square root of 54982746256 is 234484.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1787936656 + 53194809600 = 42284^2 + 230640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 54982746256.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 901356466 + ... + 901356526.

Almost surely, 254982746256 is an apocalyptic number.

54982746256 is the 234484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54982746256

54982746256 is an abundant number, since it is smaller than the sum of its proper divisors (56931464009).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54982746256 is an frugal number, since it uses more digits than its factorization.

54982746256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 94 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 58.

The spelling of 54982746256 in words is "fifty-four billion, nine hundred eighty-two million, seven hundred forty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 31 61 62 122 124 244 248 488 496 961 976 1891 1922 3721 3782 3844 7442 7564 7688 14884 15128 15376 29768 29791 30256 58621 59536 59582 115351 117242 119164 230702 234484 238328 461404 468968 476656 922808 923521 937936 1817251 1845616 1847042 3575881 3634502 3694084 7151762 7269004 7388168 14303524 14538008 14776336 28607048 29076016 56334781 57214096 110852311 112669562 221704622 225339124 443409244 450678248 886818488 901356496 1773636976 3436421641 6872843282 13745686564 27491373128 54982746256